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Finding the Fourth Proportional to 10,555.38, 15,818.27 and 8,204.63

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Solution

The fourth proportional to 10,555.38, 15,818.27 and 8,204.63 is: 12,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.38 : 15,818.27 = 8,204.63 : x
  2. Step 2: Convert to fraction form
    10,555.38/15,818.27 = 8,204.63/x
  3. Step 3: Cross multiply
    10,555.38x = 15,818.27 × 8,204.63
  4. Step 4: Simplify right side
    10,555.38x = 129,782,932.48
  5. Step 5: Solve for x
    x = 129,782,932.48/10,555.38
  6. Step 6: Final answer
    x = 12,295.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.